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Finding the Fourth Proportional to 7,887.44, 11,830.90 and 3,206.06

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Solution

The fourth proportional to 7,887.44, 11,830.90 and 3,206.06 is: 4,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.44 : 11,830.90 = 3,206.06 : x
  2. Step 2: Convert to fraction form
    7,887.44/11,830.90 = 3,206.06/x
  3. Step 3: Cross multiply
    7,887.44x = 11,830.90 × 3,206.06
  4. Step 4: Simplify right side
    7,887.44x = 37,930,575.25
  5. Step 5: Solve for x
    x = 37,930,575.25/7,887.44
  6. Step 6: Final answer
    x = 4,808.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.